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Add Variable Length Quantity
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ryanplusplus committed Oct 14, 2023
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8 changes: 8 additions & 0 deletions config.json
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"prerequisites": [],
"difficulty": 4
},
{
"slug": "variable-length-quantity",
"name": "Variable Length Quantity",
"uuid": "d0ef5012-0034-4a71-a8a8-e2ed99f93d70",
"practices": [],
"prerequisites": [],
"difficulty": 4
},
{
"slug": "rectangles",
"name": "Rectangles",
Expand Down
34 changes: 34 additions & 0 deletions exercises/practice/variable-length-quantity/.docs/instructions.md
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# Instructions

Implement variable length quantity encoding and decoding.

The goal of this exercise is to implement [VLQ][vlq] encoding/decoding.

In short, the goal of this encoding is to encode integer values in a way that would save bytes.
Only the first 7 bits of each byte are significant (right-justified; sort of like an ASCII byte).
So, if you have a 32-bit value, you have to unpack it into a series of 7-bit bytes.
Of course, you will have a variable number of bytes depending upon your integer.
To indicate which is the last byte of the series, you leave bit #7 clear.
In all of the preceding bytes, you set bit #7.

So, if an integer is between `0-127`, it can be represented as one byte.
Although VLQ can deal with numbers of arbitrary sizes, for this exercise we will restrict ourselves to only numbers that fit in a 32-bit unsigned integer.
Here are examples of integers as 32-bit values, and the variable length quantities that they translate to:

```text
NUMBER VARIABLE QUANTITY
00000000 00
00000040 40
0000007F 7F
00000080 81 00
00002000 C0 00
00003FFF FF 7F
00004000 81 80 00
00100000 C0 80 00
001FFFFF FF FF 7F
00200000 81 80 80 00
08000000 C0 80 80 00
0FFFFFFF FF FF FF 7F
```

[vlq]: https://en.wikipedia.org/wiki/Variable-length_quantity
17 changes: 17 additions & 0 deletions exercises/practice/variable-length-quantity/.meta/config.json
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{
"authors": ["ryanplusplus"],
"files": {
"solution": [
"src/variable_length_quantity.cr"
],
"test": [
"spec/variable_length_quantity_spec.cr"
],
"example": [
".meta/src/example.cr"
]
},
"blurb": "Implement variable length quantity encoding and decoding.",
"source": "A poor Splice developer having to implement MIDI encoding/decoding.",
"source_url": "https://splice.com"
}
30 changes: 30 additions & 0 deletions exercises/practice/variable-length-quantity/.meta/src/example.cr
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module VariableLengthQuantity
def self.decode(bytes : Array(Number))
values = [] of UInt32
n : UInt32 = 0
bytes.each_with_index do |byte, i|
n = n << 7
n = n + (byte & 0x7f)
if byte & 0x80 == 0
values << n
n = 0
end
raise ArgumentError.new unless (i != bytes.size - 1) || (byte & 0x80 == 0)
end
values
end

def self.encode(values : Array(Number))
values.flat_map { |value| encode(value) }
end

private def self.encode(n : Number)
bytes = [n & 0x7f]
n = n >> 7
while n > 0
bytes << (n & 0x7f | 0x80)
n = n >> 7
end
bytes.reverse
end
end
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require "spec"
require "../src/*"

describe <%= to_capitalized(@json["exercise"].to_s).inspect %> do
<% @json["cases"].as_a.each do |cases| %>
describe <%= cases["description"].inspect %> do
<%- cases["cases"].as_a.each do |cases| %>
<%= status()%> "<%-= cases["description"] %>" do
<% if cases["expected"].as_h? %>
expect_raises(ArgumentError) do
<%= to_capitalized(@json["exercise"].to_s) %>.<%= cases["property"] %>(<%= cases["input"]["integers"].as_a.inspect %>)
end
<% else %>
input = <%= cases["input"]["integers"].as_a.inspect %>
expected = <%= cases["expected"].as_a.inspect %>
<%= to_capitalized(@json["exercise"].to_s) %>.<%= cases["property"] %>(input).should eq(expected)
<% end %>
end
<% end %>
end
<% end %>
end
88 changes: 88 additions & 0 deletions exercises/practice/variable-length-quantity/.meta/tests.toml
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# This is an auto-generated file.
#
# Regenerating this file via `configlet sync` will:
# - Recreate every `description` key/value pair
# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications
# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion)
# - Preserve any other key/value pair
#
# As user-added comments (using the # character) will be removed when this file
# is regenerated, comments can be added via a `comment` key.

[35c9db2e-f781-4c52-b73b-8e76427defd0]
description = "Encode a series of integers, producing a series of bytes. -> zero"

[be44d299-a151-4604-a10e-d4b867f41540]
description = "Encode a series of integers, producing a series of bytes. -> arbitrary single byte"

[ea399615-d274-4af6-bbef-a1c23c9e1346]
description = "Encode a series of integers, producing a series of bytes. -> largest single byte"

[77b07086-bd3f-4882-8476-8dcafee79b1c]
description = "Encode a series of integers, producing a series of bytes. -> smallest double byte"

[63955a49-2690-4e22-a556-0040648d6b2d]
description = "Encode a series of integers, producing a series of bytes. -> arbitrary double byte"

[29da7031-0067-43d3-83a7-4f14b29ed97a]
description = "Encode a series of integers, producing a series of bytes. -> largest double byte"

[3345d2e3-79a9-4999-869e-d4856e3a8e01]
description = "Encode a series of integers, producing a series of bytes. -> smallest triple byte"

[5df0bc2d-2a57-4300-a653-a75ee4bd0bee]
description = "Encode a series of integers, producing a series of bytes. -> arbitrary triple byte"

[f51d8539-312d-4db1-945c-250222c6aa22]
description = "Encode a series of integers, producing a series of bytes. -> largest triple byte"

[da78228b-544f-47b7-8bfe-d16b35bbe570]
description = "Encode a series of integers, producing a series of bytes. -> smallest quadruple byte"

[11ed3469-a933-46f1-996f-2231e05d7bb6]
description = "Encode a series of integers, producing a series of bytes. -> arbitrary quadruple byte"

[d5f3f3c3-e0f1-4e7f-aad0-18a44f223d1c]
description = "Encode a series of integers, producing a series of bytes. -> largest quadruple byte"

[91a18b33-24e7-4bfb-bbca-eca78ff4fc47]
description = "Encode a series of integers, producing a series of bytes. -> smallest quintuple byte"

[5f34ff12-2952-4669-95fe-2d11b693d331]
description = "Encode a series of integers, producing a series of bytes. -> arbitrary quintuple byte"

[7489694b-88c3-4078-9864-6fe802411009]
description = "Encode a series of integers, producing a series of bytes. -> maximum 32-bit integer input"

[f9b91821-cada-4a73-9421-3c81d6ff3661]
description = "Encode a series of integers, producing a series of bytes. -> two single-byte values"

[68694449-25d2-4974-ba75-fa7bb36db212]
description = "Encode a series of integers, producing a series of bytes. -> two multi-byte values"

[51a06b5c-de1b-4487-9a50-9db1b8930d85]
description = "Encode a series of integers, producing a series of bytes. -> many multi-byte values"

[baa73993-4514-4915-bac0-f7f585e0e59a]
description = "Decode a series of bytes, producing a series of integers. -> one byte"

[72e94369-29f9-46f2-8c95-6c5b7a595aee]
description = "Decode a series of bytes, producing a series of integers. -> two bytes"

[df5a44c4-56f7-464e-a997-1db5f63ce691]
description = "Decode a series of bytes, producing a series of integers. -> three bytes"

[1bb58684-f2dc-450a-8406-1f3452aa1947]
description = "Decode a series of bytes, producing a series of integers. -> four bytes"

[cecd5233-49f1-4dd1-a41a-9840a40f09cd]
description = "Decode a series of bytes, producing a series of integers. -> maximum 32-bit integer"

[e7d74ba3-8b8e-4bcb-858d-d08302e15695]
description = "Decode a series of bytes, producing a series of integers. -> incomplete sequence causes error"

[aa378291-9043-4724-bc53-aca1b4a3fcb6]
description = "Decode a series of bytes, producing a series of integers. -> incomplete sequence causes error, even if value is zero"

[a91e6f5a-c64a-48e3-8a75-ce1a81e0ebee]
description = "Decode a series of bytes, producing a series of integers. -> multiple values"
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require "spec"
require "../src/*"

describe "VariableLengthQuantity" do
describe "Encode a series of integers, producing a series of bytes." do
it "zero" do
input = [0]
expected = [0]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "arbitrary single byte" do
input = [64]
expected = [64]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "largest single byte" do
input = [127]
expected = [127]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "smallest double byte" do
input = [128]
expected = [129, 0]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "arbitrary double byte" do
input = [8192]
expected = [192, 0]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "largest double byte" do
input = [16383]
expected = [255, 127]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "smallest triple byte" do
input = [16384]
expected = [129, 128, 0]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "arbitrary triple byte" do
input = [1048576]
expected = [192, 128, 0]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "largest triple byte" do
input = [2097151]
expected = [255, 255, 127]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "smallest quadruple byte" do
input = [2097152]
expected = [129, 128, 128, 0]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "arbitrary quadruple byte" do
input = [134217728]
expected = [192, 128, 128, 0]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "largest quadruple byte" do
input = [268435455]
expected = [255, 255, 255, 127]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "smallest quintuple byte" do
input = [268435456]
expected = [129, 128, 128, 128, 0]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "arbitrary quintuple byte" do
input = [4278190080]
expected = [143, 248, 128, 128, 0]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "maximum 32-bit integer input" do
input = [4294967295]
expected = [143, 255, 255, 255, 127]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "two single-byte values" do
input = [64, 127]
expected = [64, 127]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "two multi-byte values" do
input = [16384, 1193046]
expected = [129, 128, 0, 200, 232, 86]
VariableLengthQuantity.encode(input).should eq(expected)
end

pending "many multi-byte values" do
input = [8192, 1193046, 268435455, 0, 16383, 16384]
expected = [192, 0, 200, 232, 86, 255, 255, 255, 127, 0, 255, 127, 129, 128, 0]
VariableLengthQuantity.encode(input).should eq(expected)
end
end

describe "Decode a series of bytes, producing a series of integers." do
pending "one byte" do
input = [127]
expected = [127]
VariableLengthQuantity.decode(input).should eq(expected)
end

pending "two bytes" do
input = [192, 0]
expected = [8192]
VariableLengthQuantity.decode(input).should eq(expected)
end

pending "three bytes" do
input = [255, 255, 127]
expected = [2097151]
VariableLengthQuantity.decode(input).should eq(expected)
end

pending "four bytes" do
input = [129, 128, 128, 0]
expected = [2097152]
VariableLengthQuantity.decode(input).should eq(expected)
end

pending "maximum 32-bit integer" do
input = [143, 255, 255, 255, 127]
expected = [4294967295]
VariableLengthQuantity.decode(input).should eq(expected)
end

pending "incomplete sequence causes error" do
expect_raises(ArgumentError) do
VariableLengthQuantity.decode([255])
end
end

pending "incomplete sequence causes error, even if value is zero" do
expect_raises(ArgumentError) do
VariableLengthQuantity.decode([128])
end
end

pending "multiple values" do
input = [192, 0, 200, 232, 86, 255, 255, 255, 127, 0, 255, 127, 129, 128, 0]
expected = [8192, 1193046, 268435455, 0, 16383, 16384]
VariableLengthQuantity.decode(input).should eq(expected)
end
end
end
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module VariableLengthQuantity
# Write your code for the 'Variable Length Quantity' exercise in this file.
end

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